42648120 has 80 divisors (see below), whose sum is σ = 143355960. Its totient is φ = 11371968.

The previous prime is 42648107. The next prime is 42648127. The reversal of 42648120 is 2184624.

42648120 is a `hidden beast` number, since 4 + 2 + 648 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42648127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3342 + ... + 9821.

Almost surely, 2^42648120 is an apocalyptic number.

42648120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42648120 is an abundant number, since it is smaller than the sum of its proper divisors (100707840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42648120 is a wasteful number, since it uses less digits than its factorization.

42648120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13186 (or 13173 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42648120 is about 6530.5528096785. The cubic root of 42648120 is about 349.3815472887.

The spelling of 42648120 in words is "forty-two million, six hundred forty-eight thousand, one hundred twenty".